a silo is shaped like a cylinderwith a cone on top. the radii of the bases of the cylinder and cone are both equal to 8 feet. the hight of the cylindrical part is 25 feet and the height of the cone is 6 feet. what is the volume of the entire silo?

Respuesta :

Answer:

5430.85 square feet

Step-by-step explanation:

Height of the cylindrical part of the cilo   = 25 feet

radius of the base cylindrical part of cilo = 8 feet

Now volume of cylindrical part of cilo =[tex]\pi r^{2} h[/tex]

Volume of cylindrical part of cilo = [tex]\pi(8^{2})25[/tex] = [tex]1600\pi square feet[/tex]

Now,

Height of the conical part of cilo = 6 feet

Radius of the conical part of cilo = 8 feet

Volume of the conical  part of cilo = [tex]\frac{1}{3}\pi (8^{2})6[/tex]= [tex]128\pi square feet[/tex]

Volume of the entire cilo = [tex]1600\pi + 128\pi = 1728\pi[/tex]

since [tex]\pi =\frac{22}{7} therefore,[/tex]

volume of entire cilo =   [tex]\frac{22}{7} (1728)[/tex]= 5430.85

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